{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3",
   "language": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "source": [
    "# 使用信息熵寻找最优划分"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:,2:]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "DecisionTreeClassifier(class_weight=None, criterion='entropy', max_depth=2,\n",
       "                       max_features=None, max_leaf_nodes=None,\n",
       "                       min_impurity_decrease=0.0, min_impurity_split=None,\n",
       "                       min_samples_leaf=1, min_samples_split=2,\n",
       "                       min_weight_fraction_leaf=0.0, presort=False,\n",
       "                       random_state=42, splitter='best')"
      ]
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "\n",
    "dt_clf = DecisionTreeClassifier(max_depth=2, criterion=\"entropy\", random_state=42)\n",
    "dt_clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_decision_boundary(model, axis):\n",
    "\n",
    "    x0, x1 = np.meshgrid(\n",
    "        np.linspace(axis[0], axis[1], int((axis[1]-axis[0])*100)).reshape(-1,1),\n",
    "        np.linspace(axis[2], axis[3], int((axis[3]-axis[2])*100)).reshape(-1,1)\n",
    "        )\n",
    "\n",
    "    X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "\n",
    "    y_predict = model.predict(X_new)\n",
    "    zz = y_predict.reshape(x0.shape)\n",
    "\n",
    "    from matplotlib.colors import ListedColormap\n",
    "    custom_cmap = ListedColormap(['#EF9A9A', '#FFF59D','#90CAF9'])\n",
    "\n",
    "    plt.contourf(x0, x1, zz, linewidth=5, cmap=custom_cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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104.811125 \r\nL 364.903125 104.083901 \r\nL 364.903125 103.356677 \r\nL 364.903125 102.629453 \r\nL 364.903125 101.902229 \r\nL 364.424155 101.902229 \r\nL 363.945185 101.902229 \r\nL 363.466215 101.902229 \r\nL 362.987245 101.902229 \r\nL 362.508275 101.902229 \r\nL 362.029305 101.902229 \r\nL 361.550335 101.902229 \r\nL 361.071365 101.902229 \r\nL 360.592395 101.902229 \r\nL 360.113425 101.902229 \r\nL 359.634455 101.902229 \r\nL 359.155486 101.902229 \r\nL 358.676516 101.902229 \r\nL 358.197546 101.902229 \r\nL 357.718576 101.902229 \r\nL 357.239606 101.902229 \r\nL 356.760636 101.902229 \r\nL 356.281666 101.902229 \r\nL 355.802696 101.902229 \r\nL 355.323726 101.902229 \r\nL 354.844756 101.902229 \r\nL 354.365786 101.902229 \r\nL 353.886816 101.902229 \r\nL 353.407846 101.902229 \r\nL 352.928876 101.902229 \r\nL 352.449906 101.902229 \r\nL 351.970936 101.902229 \r\nL 351.491966 101.902229 \r\nL 351.012996 101.902229 \r\nL 350.534026 101.902229 \r\nL 350.055056 101.902229 \r\nL 349.576086 101.902229 \r\nL 349.097116 101.902229 \r\nL 348.618146 101.902229 \r\nL 348.139177 101.902229 \r\nL 347.660207 101.902229 \r\nL 347.181237 101.902229 \r\nL 346.702267 101.902229 \r\nL 346.223297 101.902229 \r\nL 345.744327 101.902229 \r\nL 345.265357 101.902229 \r\nL 344.786387 101.902229 \r\nL 344.307417 101.902229 \r\nL 343.828447 101.902229 \r\nL 343.349477 101.902229 \r\nL 342.870507 101.902229 \r\nL 342.391537 101.902229 \r\nL 341.912567 101.902229 \r\nL 341.433597 101.902229 \r\nL 340.954627 101.902229 \r\nL 340.475657 101.902229 \r\nL 339.996687 101.902229 \r\nL 339.517717 101.902229 \r\nL 339.038747 101.902229 \r\nL 338.559777 101.902229 \r\nL 338.080807 101.902229 \r\nL 337.601837 101.902229 \r\nL 337.122867 101.902229 \r\nL 336.643898 101.902229 \r\nL 336.164928 101.902229 \r\nL 335.685958 101.902229 \r\nL 335.206988 101.902229 \r\nL 334.728018 101.902229 \r\nL 334.249048 101.902229 \r\nL 333.770078 101.902229 \r\nL 333.291108 101.902229 \r\nL 332.812138 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101.902229 \r\nL 178.104842 101.902229 \r\nL 177.625872 101.902229 \r\nL 177.146902 101.902229 \r\nL 176.667932 101.902229 \r\nL 176.188962 101.902229 \r\nL 175.709992 101.902229 \r\nL 175.231022 101.902229 \r\nL 174.752052 101.902229 \r\nL 174.273082 101.902229 \r\nL 173.794112 101.902229 \r\nL 173.315142 101.902229 \r\nL 172.836172 101.902229 \r\nL 172.357202 101.902229 \r\nL 171.878232 101.902229 \r\nL 171.399262 101.902229 \r\nL 170.920292 101.902229 \r\nL 170.441322 101.902229 \r\nL 169.962352 101.902229 \r\nL 169.483383 101.902229 \r\nL 169.004413 101.902229 \r\nL 168.525443 101.902229 \r\nL 168.046473 101.902229 \r\nL 167.567503 101.902229 \r\nL 167.088533 101.902229 \r\nL 166.609563 101.902229 \r\nL 166.130593 101.902229 \r\nL 165.651623 101.902229 \r\nL 165.172653 101.902229 \r\nL 164.693683 101.902229 \r\nL 164.214713 101.902229 \r\nL 163.735743 101.902229 \r\nL 163.256773 101.902229 \r\nL 162.777803 101.902229 \r\nL 162.298833 101.902229 \r\nL 161.819863 101.902229 \r\nL 161.340893 101.902229 \r\nL 160.861923 101.902229 \r\nL 160.382953 101.902229 \r\nL 159.903983 101.902229 \r\nL 159.425013 101.902229 \r\nL 158.946043 101.902229 \r\nL 158.467073 101.902229 \r\nL 157.988104 101.902229 \r\nL 157.509134 101.902229 \r\nL 157.030164 101.902229 \r\nL 156.551194 101.902229 \r\nL 156.072224 101.902229 \r\nL 155.593254 101.902229 \r\nL 155.114284 101.902229 \r\nL 154.635314 101.902229 \r\nL 154.156344 101.902229 \r\nL 153.677374 101.902229 \r\nL 153.198404 101.902229 \r\nL 152.719434 101.902229 \r\nL 152.240464 101.902229 \r\nL 151.761494 101.902229 \r\nL 151.282524 101.902229 \r\nL 150.803554 101.902229 \r\nL 150.324584 101.902229 \r\nL 149.845614 101.902229 \r\nL 149.366644 101.902229 \r\nL 148.887674 101.902229 \r\nL 148.408704 101.902229 \r\nL 147.929734 101.902229 \r\nL 147.450764 101.902229 \r\nL 146.971795 101.902229 \r\nL 146.492825 101.902229 \r\nL 146.013855 101.902229 \r\nL 145.534885 101.902229 \r\nL 145.055915 101.902229 \r\nL 144.576945 101.902229 \r\nL 144.097975 101.902229 \r\nL 143.619005 101.902229 \r\nL 143.140035 101.902229 \r\nL 142.661065 101.902229 \r\nL 142.182095 101.902229 \r\nL 141.703125 101.902229 \r\nL 141.224155 101.902229 \r\nL 140.745185 101.902229 \r\nL 140.266215 101.902229 \r\nL 139.787245 101.902229 \r\nL 139.308275 101.902229 \r\nL 138.829305 101.902229 \r\nL 138.350335 101.902229 \r\nL 137.871365 101.902229 \r\nL 137.392395 101.902229 \r\nL 136.913425 101.902229 \r\nL 136.434455 101.902229 \r\nL 135.955486 101.902229 \r\nL 135.476516 101.902229 \r\nL 134.997546 101.902229 \r\nL 134.518576 101.902229 \r\nL 134.039606 101.902229 \r\nL 133.560636 101.902229 \r\nL 133.081666 101.902229 \r\nL 132.602696 101.902229 \r\nL 132.123726 101.902229 \r\nL 131.644756 101.902229 \r\nL 131.165786 101.902229 \r\nL 130.686816 101.902229 \r\nL 130.207846 101.902229 \r\nL 129.728876 101.902229 \r\nL 129.249906 101.902229 \r\nL 128.770936 101.902229 \r\nL 128.291966 101.902229 \r\nL 127.812996 101.902229 \r\nL 127.334026 101.902229 \r\nL 126.855056 101.902229 \r\nL 126.376086 101.902229 \r\nL 125.897116 101.902229 \r\nL 125.418146 101.902229 \r\nL 124.939177 101.902229 \r\nL 124.460207 101.902229 \r\nL 123.981237 101.902229 \r\nL 123.502267 101.902229 \r\nL 123.262782 101.175005 \r\nL 123.262782 100.447781 \r\nL 123.262782 99.720557 \r\nL 123.262782 98.993332 \r\nL 123.262782 98.266108 \r\nL 123.262782 97.538884 \r\nL 123.262782 96.81166 \r\nL 123.262782 96.084436 \r\nL 123.262782 95.357212 \r\nL 123.262782 94.629988 \r\nL 123.262782 93.902764 \r\nL 123.262782 93.17554 \r\nL 123.262782 92.448316 \r\nL 123.262782 91.721092 \r\nL 123.262782 90.993868 \r\nL 123.262782 90.266643 \r\nL 123.262782 89.539419 \r\nL 123.262782 88.812195 \r\nL 123.262782 88.084971 \r\nL 123.262782 87.357747 \r\nL 123.262782 86.630523 \r\nL 123.262782 85.903299 \r\nL 123.262782 85.176075 \r\nL 123.262782 84.448851 \r\nL 123.262782 83.721627 \r\nL 123.262782 82.994403 \r\nL 123.262782 82.267179 \r\nL 123.262782 81.539955 \r\nL 123.262782 80.81273 \r\nL 123.262782 80.085506 \r\nL 123.262782 79.358282 \r\nL 123.262782 78.631058 \r\nL 123.262782 77.903834 \r\nL 123.262782 77.17661 \r\nL 123.262782 76.449386 \r\nL 123.262782 75.722162 \r\nL 123.262782 74.994938 \r\nL 123.262782 74.267714 \r\nL 123.262782 73.54049 \r\nL 123.262782 72.813266 \r\nL 123.262782 72.086041 \r\nL 123.262782 71.358817 \r\nL 123.262782 70.631593 \r\nL 123.262782 69.904369 \r\nL 123.262782 69.177145 \r\nL 123.262782 68.449921 \r\nL 123.262782 67.722697 \r\nL 123.262782 66.995473 \r\nL 123.262782 66.268249 \r\nL 123.262782 65.541025 \r\nL 123.262782 64.813801 \r\nL 123.262782 64.086577 \r\nL 123.262782 63.359353 \r\nL 123.262782 62.632128 \r\nL 123.262782 61.904904 \r\nL 123.262782 61.17768 \r\nL 123.262782 60.450456 \r\nL 123.262782 59.723232 \r\nL 123.262782 58.996008 \r\nL 123.262782 58.268784 \r\nL 123.262782 57.54156 \r\nL 123.262782 56.814336 \r\nL 123.262782 56.087112 \r\nL 123.262782 55.359888 \r\nL 123.262782 54.632664 \r\nL 123.262782 53.905439 \r\nL 123.262782 53.178215 \r\nL 123.262782 52.450991 \r\nL 123.262782 51.723767 \r\nL 123.262782 50.996543 \r\nL 123.262782 50.269319 \r\nL 123.262782 49.542095 \r\nL 123.262782 48.814871 \r\nL 123.262782 48.087647 \r\nL 123.262782 47.360423 \r\nL 123.262782 46.633199 \r\nL 123.262782 45.905975 \r\nL 123.262782 45.178751 \r\nL 123.262782 44.451526 \r\nL 123.262782 43.724302 \r\nL 123.262782 42.997078 \r\nL 123.262782 42.269854 \r\nL 123.262782 41.54263 \r\nL 123.262782 40.815406 \r\nL 123.262782 40.088182 \r\nL 123.262782 39.360958 \r\nL 123.262782 38.633734 \r\nL 123.262782 37.90651 \r\nL 123.262782 37.179286 \r\nL 123.262782 36.452062 \r\nL 123.262782 35.724837 \r\nL 123.262782 34.997613 \r\nL 123.262782 34.270389 \r\nL 123.262782 33.543165 \r\nL 123.262782 32.815941 \r\nL 123.262782 32.088717 \r\nL 123.262782 31.361493 \r\nL 123.262782 30.634269 \r\nL 123.262782 29.907045 \r\nL 123.262782 29.179821 \r\nL 123.262782 28.452597 \r\nL 123.262782 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123.20291 21.180356 \r\nL 123.20291 21.90758 \r\nL 123.20291 22.634804 \r\nL 123.20291 23.362028 \r\nL 123.20291 24.089252 \r\nL 123.20291 24.816476 \r\nL 123.20291 25.5437 \r\nL 123.20291 26.270924 \r\nL 123.20291 26.998149 \r\nL 123.20291 27.725373 \r\nL 123.20291 28.452597 \r\nL 123.20291 29.179821 \r\nL 123.20291 29.907045 \r\nL 123.20291 30.634269 \r\nL 123.20291 31.361493 \r\nL 123.20291 32.088717 \r\nL 123.20291 32.815941 \r\nL 123.20291 33.543165 \r\nL 123.20291 34.270389 \r\nL 123.20291 34.997613 \r\nL 123.20291 35.724837 \r\nL 123.20291 36.452062 \r\nL 123.20291 37.179286 \r\nL 123.20291 37.90651 \r\nL 123.20291 38.633734 \r\nL 123.20291 39.360958 \r\nL 123.20291 40.088182 \r\nL 123.20291 40.815406 \r\nL 123.20291 41.54263 \r\nL 123.20291 42.269854 \r\nL 123.20291 42.997078 \r\nL 123.20291 43.724302 \r\nL 123.20291 44.451526 \r\nL 123.20291 45.178751 \r\nL 123.20291 45.905975 \r\nL 123.20291 46.633199 \r\nL 123.20291 47.360423 \r\nL 123.20291 48.087647 \r\nL 123.20291 48.814871 \r\nL 123.20291 49.542095 \r\nL 123.20291 50.269319 \r\nL 123.20291 50.996543 \r\nL 123.20291 51.723767 \r\nL 123.20291 52.450991 \r\nL 123.20291 53.178215 \r\nL 123.20291 53.905439 \r\nL 123.20291 54.632664 \r\nL 123.20291 55.359888 \r\nL 123.20291 56.087112 \r\nL 123.20291 56.814336 \r\nL 123.20291 57.54156 \r\nL 123.20291 58.268784 \r\nL 123.20291 58.996008 \r\nL 123.20291 59.723232 \r\nL 123.20291 60.450456 \r\nL 123.20291 61.17768 \r\nL 123.20291 61.904904 \r\nL 123.20291 62.632128 \r\nL 123.20291 63.359353 \r\nL 123.20291 64.086577 \r\nL 123.20291 64.813801 \r\nL 123.20291 65.541025 \r\nL 123.20291 66.268249 \r\nL 123.20291 66.995473 \r\nL 123.20291 67.722697 \r\nL 123.20291 68.449921 \r\nL 123.20291 69.177145 \r\nL 123.20291 69.904369 \r\nL 123.20291 70.631593 \r\nL 123.20291 71.358817 \r\nL 123.20291 72.086041 \r\nL 123.20291 72.813266 \r\nL 123.20291 73.54049 \r\nL 123.20291 74.267714 \r\nL 123.20291 74.994938 \r\nL 123.20291 75.722162 \r\nL 123.20291 76.449386 \r\nL 123.20291 77.17661 \r\nL 123.20291 77.903834 \r\nL 123.20291 78.631058 \r\nL 123.20291 79.358282 \r\nL 123.20291 80.085506 \r\nL 123.20291 80.81273 \r\nL 123.20291 81.539955 \r\nL 123.20291 82.267179 \r\nL 123.20291 82.994403 \r\nL 123.20291 83.721627 \r\nL 123.20291 84.448851 \r\nL 123.20291 85.176075 \r\nL 123.20291 85.903299 \r\nL 123.20291 86.630523 \r\nL 123.20291 87.357747 \r\nL 123.20291 88.084971 \r\nL 123.20291 88.812195 \r\nL 123.20291 89.539419 \r\nL 123.20291 90.266643 \r\nL 123.20291 90.993868 \r\nL 123.20291 91.721092 \r\nL 123.20291 92.448316 \r\nL 123.20291 93.17554 \r\nL 123.20291 93.902764 \r\nL 123.20291 94.629988 \r\nL 123.20291 95.357212 \r\nL 123.20291 96.084436 \r\nL 123.20291 96.81166 \r\nL 123.20291 97.538884 \r\nL 123.20291 98.266108 \r\nL 123.20291 98.993332 \r\nL 123.20291 99.720557 \r\nL 123.20291 100.447781 \r\nL 123.20291 101.175005 \r\nL 123.382524 101.902229 \r\nL 123.382524 102.629453 \r\nL 123.382524 103.356677 \r\nL 123.382524 104.083901 \r\nL 123.382524 104.811125 \r\nL 123.382524 105.538349 \r\nL 123.382524 106.265573 \r\nL 123.382524 106.992797 \r\nL 123.382524 107.720021 \r\nL 123.382524 108.447246 \r\nL 123.382524 109.17447 \r\nL 123.382524 109.901694 \r\nL 123.382524 110.628918 \r\nL 123.382524 111.356142 \r\nL 123.382524 112.083366 \r\nL 123.382524 112.81059 \r\nL 123.382524 113.537814 \r\nL 123.382524 114.265038 \r\nL 123.382524 114.992262 \r\nL 123.382524 115.719486 \r\nL 123.382524 116.44671 \r\nL 123.382524 117.173934 \r\nL 123.382524 117.901159 \r\nL 123.382524 118.628383 \r\nL 123.382524 119.355607 \r\nL 123.382524 120.082831 \r\nL 123.382524 120.810055 \r\nL 123.382524 121.537279 \r\nL 123.382524 122.264503 \r\nL 123.382524 122.991727 \r\nL 123.382524 123.718951 \r\nL 123.382524 124.446175 \r\nL 123.382524 125.173399 \r\nL 123.382524 125.900623 \r\nL 123.382524 126.627848 \r\nL 123.382524 127.355072 \r\nL 123.382524 128.082296 \r\nL 123.382524 128.80952 \r\nL 123.382524 129.536744 \r\nL 123.382524 130.263968 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329.938318 101.902229 \r\nL 330.417288 101.902229 \r\nL 330.896258 101.902229 \r\nL 331.375228 101.902229 \r\nL 331.854198 101.902229 \r\nL 332.333168 101.902229 \r\nL 332.812138 101.902229 \r\nL 333.291108 101.902229 \r\nL 333.770078 101.902229 \r\nL 334.249048 101.902229 \r\nL 334.728018 101.902229 \r\nL 335.206988 101.902229 \r\nL 335.685958 101.902229 \r\nL 336.164928 101.902229 \r\nL 336.643898 101.902229 \r\nL 337.122867 101.902229 \r\nL 337.601837 101.902229 \r\nL 338.080807 101.902229 \r\nL 338.559777 101.902229 \r\nL 339.038747 101.902229 \r\nL 339.517717 101.902229 \r\nL 339.996687 101.902229 \r\nL 340.475657 101.902229 \r\nL 340.954627 101.902229 \r\nL 341.433597 101.902229 \r\nL 341.912567 101.902229 \r\nL 342.391537 101.902229 \r\nL 342.870507 101.902229 \r\nL 343.349477 101.902229 \r\nL 343.828447 101.902229 \r\nL 344.307417 101.902229 \r\nL 344.786387 101.902229 \r\nL 345.265357 101.902229 \r\nL 345.744327 101.902229 \r\nL 346.223297 101.902229 \r\nL 346.702267 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363.945185 101.902229 \r\nL 364.424155 101.902229 \r\nL 364.903125 101.902229 \r\nL 364.903125 101.720423 \r\nL 364.424155 101.720423 \r\nL 363.945185 101.720423 \r\nL 363.466215 101.720423 \r\nL 362.987245 101.720423 \r\nL 362.508275 101.720423 \r\nL 362.029305 101.720423 \r\nL 361.550335 101.720423 \r\nL 361.071365 101.720423 \r\nL 360.592395 101.720423 \r\nL 360.113425 101.720423 \r\nL 359.634455 101.720423 \r\nL 359.155486 101.720423 \r\nL 358.676516 101.720423 \r\nL 358.197546 101.720423 \r\nL 357.718576 101.720423 \r\nL 357.239606 101.720423 \r\nL 356.760636 101.720423 \r\nL 356.281666 101.720423 \r\nL 355.802696 101.720423 \r\nL 355.323726 101.720423 \r\nL 354.844756 101.720423 \r\nL 354.365786 101.720423 \r\nL 353.886816 101.720423 \r\nL 353.407846 101.720423 \r\nL 352.928876 101.720423 \r\nL 352.449906 101.720423 \r\nL 351.970936 101.720423 \r\nL 351.491966 101.720423 \r\nL 351.012996 101.720423 \r\nL 350.534026 101.720423 \r\nL 350.055056 101.720423 \r\nL 349.576086 101.720423 \r\nL 349.097116 101.720423 \r\nL 348.618146 101.720423 \r\nL 348.139177 101.720423 \r\nL 347.660207 101.720423 \r\nL 347.181237 101.720423 \r\nL 346.702267 101.720423 \r\nL 346.223297 101.720423 \r\nL 345.744327 101.720423 \r\nL 345.265357 101.720423 \r\nL 344.786387 101.720423 \r\nL 344.307417 101.720423 \r\nL 343.828447 101.720423 \r\nL 343.349477 101.720423 \r\nL 342.870507 101.720423 \r\nL 342.391537 101.720423 \r\nL 341.912567 101.720423 \r\nL 341.433597 101.720423 \r\nL 340.954627 101.720423 \r\nL 340.475657 101.720423 \r\nL 339.996687 101.720423 \r\nL 339.517717 101.720423 \r\nL 339.038747 101.720423 \r\nL 338.559777 101.720423 \r\nL 338.080807 101.720423 \r\nL 337.601837 101.720423 \r\nL 337.122867 101.720423 \r\nL 336.643898 101.720423 \r\nL 336.164928 101.720423 \r\nL 335.685958 101.720423 \r\nL 335.206988 101.720423 \r\nL 334.728018 101.720423 \r\nL 334.249048 101.720423 \r\nL 333.770078 101.720423 \r\nL 333.291108 101.720423 \r\nL 332.812138 101.720423 \r\nL 332.333168 101.720423 \r\nL 331.854198 101.720423 \r\nL 331.375228 101.720423 \r\nL 330.896258 101.720423 \r\nL 330.417288 101.720423 \r\nL 329.938318 101.720423 \r\nL 329.459348 101.720423 \r\nL 328.980378 101.720423 \r\nL 328.501408 101.720423 \r\nL 328.022438 101.720423 \r\nL 327.543468 101.720423 \r\nL 327.064498 101.720423 \r\nL 326.585528 101.720423 \r\nL 326.106558 101.720423 \r\nL 325.627589 101.720423 \r\nL 325.148619 101.720423 \r\nL 324.669649 101.720423 \r\nL 324.190679 101.720423 \r\nL 323.711709 101.720423 \r\nL 323.232739 101.720423 \r\nL 322.753769 101.720423 \r\nL 322.274799 101.720423 \r\nL 321.795829 101.720423 \r\nL 321.316859 101.720423 \r\nL 320.837889 101.720423 \r\nL 320.358919 101.720423 \r\nL 319.879949 101.720423 \r\nL 319.400979 101.720423 \r\nL 318.922009 101.720423 \r\nL 318.443039 101.720423 \r\nL 317.964069 101.720423 \r\nL 317.485099 101.720423 \r\nL 317.006129 101.720423 \r\nL 316.527159 101.720423 \r\nL 316.048189 101.720423 \r\nL 315.569219 101.720423 \r\nL 315.090249 101.720423 \r\nL 314.61128 101.720423 \r\nL 314.13231 101.720423 \r\nL 313.65334 101.720423 \r\nL 313.17437 101.720423 \r\nL 312.6954 101.720423 \r\nL 312.21643 101.720423 \r\nL 311.73746 101.720423 \r\nL 311.25849 101.720423 \r\nL 310.77952 101.720423 \r\nL 310.30055 101.720423 \r\nL 309.82158 101.720423 \r\nL 309.34261 101.720423 \r\nL 308.86364 101.720423 \r\nL 308.38467 101.720423 \r\nL 307.9057 101.720423 \r\nL 307.42673 101.720423 \r\nL 306.94776 101.720423 \r\nL 306.46879 101.720423 \r\nL 305.98982 101.720423 \r\nL 305.51085 101.720423 \r\nL 305.03188 101.720423 \r\nL 304.55291 101.720423 \r\nL 304.07394 101.720423 \r\nL 303.59497 101.720423 \r\nL 303.116001 101.720423 \r\nL 302.637031 101.720423 \r\nL 302.158061 101.720423 \r\nL 301.679091 101.720423 \r\nL 301.200121 101.720423 \r\nL 300.721151 101.720423 \r\nL 300.242181 101.720423 \r\nL 299.763211 101.720423 \r\nL 299.284241 101.720423 \r\nL 298.805271 101.720423 \r\nL 298.326301 101.720423 \r\nL 297.847331 101.720423 \r\nL 297.368361 101.720423 \r\nL 296.889391 101.720423 \r\nL 296.410421 101.720423 \r\nL 295.931451 101.720423 \r\nL 295.452481 101.720423 \r\nL 294.973511 101.720423 \r\nL 294.494541 101.720423 \r\nL 294.015571 101.720423 \r\nL 293.536601 101.720423 \r\nL 293.057631 101.720423 \r\nL 292.578661 101.720423 \r\nL 292.099692 101.720423 \r\nL 291.620722 101.720423 \r\nL 291.141752 101.720423 \r\nL 290.662782 101.720423 \r\nL 290.183812 101.720423 \r\nL 289.704842 101.720423 \r\nL 289.225872 101.720423 \r\nL 288.746902 101.720423 \r\nL 288.267932 101.720423 \r\nL 287.788962 101.720423 \r\nL 287.309992 101.720423 \r\nL 286.831022 101.720423 \r\nL 286.352052 101.720423 \r\nL 285.873082 101.720423 \r\nL 285.394112 101.720423 \r\nL 284.915142 101.720423 \r\nL 284.436172 101.720423 \r\nL 283.957202 101.720423 \r\nL 283.478232 101.720423 \r\nL 282.999262 101.720423 \r\nL 282.520292 101.720423 \r\nL 282.041322 101.720423 \r\nL 281.562352 101.720423 \r\nL 281.083383 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172.357202 101.720423 \r\nL 172.836172 101.720423 \r\nL 173.315142 101.720423 \r\nL 173.794112 101.720423 \r\nL 174.273082 101.720423 \r\nL 174.752052 101.720423 \r\nL 175.231022 101.720423 \r\nL 175.709992 101.720423 \r\nL 176.188962 101.720423 \r\nL 176.667932 101.720423 \r\nL 177.146902 101.720423 \r\nL 177.625872 101.720423 \r\nL 178.104842 101.720423 \r\nL 178.583812 101.720423 \r\nL 179.062782 101.720423 \r\nL 179.541752 101.720423 \r\nL 180.020722 101.720423 \r\nL 180.499692 101.720423 \r\nL 180.978661 101.720423 \r\nL 181.457631 101.720423 \r\nL 181.936601 101.720423 \r\nL 182.415571 101.720423 \r\nL 182.894541 101.720423 \r\nL 183.373511 101.720423 \r\nL 183.852481 101.720423 \r\nL 184.331451 101.720423 \r\nL 184.810421 101.720423 \r\nL 185.289391 101.720423 \r\nL 185.768361 101.720423 \r\nL 186.247331 101.720423 \r\nL 186.726301 101.720423 \r\nL 187.205271 101.720423 \r\nL 187.684241 101.720423 \r\nL 188.163211 101.720423 \r\nL 188.642181 101.720423 \r\nL 189.121151 101.720423 \r\nL 189.600121 101.720423 \r\nL 190.079091 101.720423 \r\nL 190.558061 101.720423 \r\nL 191.037031 101.720423 \r\nL 191.516001 101.720423 \r\nL 191.99497 101.720423 \r\nL 192.47394 101.720423 \r\nL 192.95291 101.720423 \r\nL 193.43188 101.720423 \r\nL 193.91085 101.720423 \r\nL 194.38982 101.720423 \r\nL 194.86879 101.720423 \r\nL 195.34776 101.720423 \r\nL 195.82673 101.720423 \r\nL 196.3057 101.720423 \r\nL 196.78467 101.720423 \r\nL 197.26364 101.720423 \r\nL 197.74261 101.720423 \r\nL 198.22158 101.720423 \r\nL 198.70055 101.720423 \r\nL 199.17952 101.720423 \r\nL 199.65849 101.720423 \r\nL 200.13746 101.720423 \r\nL 200.61643 101.720423 \r\nL 201.0954 101.720423 \r\nL 201.57437 101.720423 \r\nL 202.05334 101.720423 \r\nL 202.53231 101.720423 \r\nL 203.01128 101.720423 \r\nL 203.490249 101.720423 \r\nL 203.969219 101.720423 \r\nL 204.448189 101.720423 \r\nL 204.927159 101.720423 \r\nL 205.406129 101.720423 \r\nL 205.885099 101.720423 \r\nL 206.364069 101.720423 \r\nL 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101.720423 \r\nL 224.085958 101.720423 \r\nL 224.564928 101.720423 \r\nL 225.043898 101.720423 \r\nL 225.522867 101.720423 \r\nL 226.001837 101.720423 \r\nL 226.480807 101.720423 \r\nL 226.959777 101.720423 \r\nL 227.438747 101.720423 \r\nL 227.917717 101.720423 \r\nL 228.396687 101.720423 \r\nL 228.875657 101.720423 \r\nL 229.354627 101.720423 \r\nL 229.833597 101.720423 \r\nL 230.312567 101.720423 \r\nL 230.791537 101.720423 \r\nL 231.270507 101.720423 \r\nL 231.749477 101.720423 \r\nL 232.228447 101.720423 \r\nL 232.707417 101.720423 \r\nL 233.186387 101.720423 \r\nL 233.665357 101.720423 \r\nL 234.144327 101.720423 \r\nL 234.623297 101.720423 \r\nL 235.102267 101.720423 \r\nL 235.581237 101.720423 \r\nL 236.060207 101.720423 \r\nL 236.539177 101.720423 \r\nL 237.018146 101.720423 \r\nL 237.497116 101.720423 \r\nL 237.976086 101.720423 \r\nL 238.455056 101.720423 \r\nL 238.934026 101.720423 \r\nL 239.412996 101.720423 \r\nL 239.891966 101.720423 \r\nL 240.370936 101.720423 \r\nL 240.849906 101.720423 \r\nL 241.328876 101.720423 \r\nL 241.807846 101.720423 \r\nL 242.286816 101.720423 \r\nL 242.765786 101.720423 \r\nL 243.244756 101.720423 \r\nL 243.723726 101.720423 \r\nL 244.202696 101.720423 \r\nL 244.681666 101.720423 \r\nL 245.160636 101.720423 \r\nL 245.639606 101.720423 \r\nL 246.118576 101.720423 \r\nL 246.597546 101.720423 \r\nL 247.076516 101.720423 \r\nL 247.555486 101.720423 \r\nL 248.034455 101.720423 \r\nL 248.513425 101.720423 \r\nL 248.992395 101.720423 \r\nL 249.471365 101.720423 \r\nL 249.950335 101.720423 \r\nL 250.429305 101.720423 \r\nL 250.908275 101.720423 \r\nL 251.387245 101.720423 \r\nL 251.866215 101.720423 \r\nL 252.345185 101.720423 \r\nL 252.824155 101.720423 \r\nL 253.303125 101.720423 \r\nL 253.782095 101.720423 \r\nL 254.261065 101.720423 \r\nL 254.740035 101.720423 \r\nL 255.219005 101.720423 \r\nL 255.697975 101.720423 \r\nL 256.176945 101.720423 \r\nL 256.655915 101.720423 \r\nL 257.134885 101.720423 \r\nL 257.613855 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101.720423 \r\nL 326.585528 101.720423 \r\nL 327.064498 101.720423 \r\nL 327.543468 101.720423 \r\nL 328.022438 101.720423 \r\nL 328.501408 101.720423 \r\nL 328.980378 101.720423 \r\nL 329.459348 101.720423 \r\nL 329.938318 101.720423 \r\nL 330.417288 101.720423 \r\nL 330.896258 101.720423 \r\nL 331.375228 101.720423 \r\nL 331.854198 101.720423 \r\nL 332.333168 101.720423 \r\nL 332.812138 101.720423 \r\nL 333.291108 101.720423 \r\nL 333.770078 101.720423 \r\nL 334.249048 101.720423 \r\nL 334.728018 101.720423 \r\nL 335.206988 101.720423 \r\nL 335.685958 101.720423 \r\nL 336.164928 101.720423 \r\nL 336.643898 101.720423 \r\nL 337.122867 101.720423 \r\nL 337.601837 101.720423 \r\nL 338.080807 101.720423 \r\nL 338.559777 101.720423 \r\nL 339.038747 101.720423 \r\nL 339.517717 101.720423 \r\nL 339.996687 101.720423 \r\nL 340.475657 101.720423 \r\nL 340.954627 101.720423 \r\nL 341.433597 101.720423 \r\nL 341.912567 101.720423 \r\nL 342.391537 101.720423 \r\nL 342.870507 101.720423 \r\nL 343.349477 101.720423 \r\nL 343.828447 101.720423 \r\nL 344.307417 101.720423 \r\nL 344.786387 101.720423 \r\nL 345.265357 101.720423 \r\nL 345.744327 101.720423 \r\nL 346.223297 101.720423 \r\nL 346.702267 101.720423 \r\nL 347.181237 101.720423 \r\nL 347.660207 101.720423 \r\nL 348.139177 101.720423 \r\nL 348.618146 101.720423 \r\nL 349.097116 101.720423 \r\nL 349.576086 101.720423 \r\nL 350.055056 101.720423 \r\nL 350.534026 101.720423 \r\nL 351.012996 101.720423 \r\nL 351.491966 101.720423 \r\nL 351.970936 101.720423 \r\nL 352.449906 101.720423 \r\nL 352.928876 101.720423 \r\nL 353.407846 101.720423 \r\nL 353.886816 101.720423 \r\nL 354.365786 101.720423 \r\nL 354.844756 101.720423 \r\nL 355.323726 101.720423 \r\nL 355.802696 101.720423 \r\nL 356.281666 101.720423 \r\nL 356.760636 101.720423 \r\nL 357.239606 101.720423 \r\nL 357.718576 101.720423 \r\nL 358.197546 101.720423 \r\nL 358.676516 101.720423 \r\nL 359.155486 101.720423 \r\nL 359.634455 101.720423 \r\nL 360.113425 101.720423 \r\nL 360.592395 101.720423 \r\nL 361.071365 101.720423 \r\nL 361.550335 101.720423 \r\nL 362.029305 101.720423 \r\nL 362.508275 101.720423 \r\nL 362.987245 101.720423 \r\nL 363.466215 101.720423 \r\nL 363.945185 101.720423 \r\nL 364.424155 101.720423 \r\nL 364.903125 101.720423 \r\nL 364.903125 101.538617 \r\nL 364.424155 101.538617 \r\nL 363.945185 101.538617 \r\nL 363.466215 101.538617 \r\nL 362.987245 101.538617 \r\nL 362.508275 101.538617 \r\nL 362.029305 101.538617 \r\nL 361.550335 101.538617 \r\nL 361.071365 101.538617 \r\nL 360.592395 101.538617 \r\nL 360.113425 101.538617 \r\nL 359.634455 101.538617 \r\nL 359.155486 101.538617 \r\nL 358.676516 101.538617 \r\nL 358.197546 101.538617 \r\nL 357.718576 101.538617 \r\nL 357.239606 101.538617 \r\nL 356.760636 101.538617 \r\nL 356.281666 101.538617 \r\nL 355.802696 101.538617 \r\nL 355.323726 101.538617 \r\nL 354.844756 101.538617 \r\nL 354.365786 101.538617 \r\nL 353.886816 101.538617 \r\nL 353.407846 101.538617 \r\nL 352.928876 101.538617 \r\nL 352.449906 101.538617 \r\nL 351.970936 101.538617 \r\nL 351.491966 101.538617 \r\nL 351.012996 101.538617 \r\nL 350.534026 101.538617 \r\nL 350.055056 101.538617 \r\nL 349.576086 101.538617 \r\nL 349.097116 101.538617 \r\nL 348.618146 101.538617 \r\nL 348.139177 101.538617 \r\nL 347.660207 101.538617 \r\nL 347.181237 101.538617 \r\nL 346.702267 101.538617 \r\nL 346.223297 101.538617 \r\nL 345.744327 101.538617 \r\nL 345.265357 101.538617 \r\nL 344.786387 101.538617 \r\nL 344.307417 101.538617 \r\nL 343.828447 101.538617 \r\nL 343.349477 101.538617 \r\nL 342.870507 101.538617 \r\nL 342.391537 101.538617 \r\nL 341.912567 101.538617 \r\nL 341.433597 101.538617 \r\nL 340.954627 101.538617 \r\nL 340.475657 101.538617 \r\nL 339.996687 101.538617 \r\nL 339.517717 101.538617 \r\nL 339.038747 101.538617 \r\nL 338.559777 101.538617 \r\nL 338.080807 101.538617 \r\nL 337.601837 101.538617 \r\nL 337.122867 101.538617 \r\nL 336.643898 101.538617 \r\nL 336.164928 101.538617 \r\nL 335.685958 101.538617 \r\nL 335.206988 101.538617 \r\nL 334.728018 101.538617 \r\nL 334.249048 101.538617 \r\nL 333.770078 101.538617 \r\nL 333.291108 101.538617 \r\nL 332.812138 101.538617 \r\nL 332.333168 101.538617 \r\nL 331.854198 101.538617 \r\nL 331.375228 101.538617 \r\nL 330.896258 101.538617 \r\nL 330.417288 101.538617 \r\nL 329.938318 101.538617 \r\nL 329.459348 101.538617 \r\nL 328.980378 101.538617 \r\nL 328.501408 101.538617 \r\nL 328.022438 101.538617 \r\nL 327.543468 101.538617 \r\nL 327.064498 101.538617 \r\nL 326.585528 101.538617 \r\nL 326.106558 101.538617 \r\nL 325.627589 101.538617 \r\nL 325.148619 101.538617 \r\nL 324.669649 101.538617 \r\nL 324.190679 101.538617 \r\nL 323.711709 101.538617 \r\nL 323.232739 101.538617 \r\nL 322.753769 101.538617 \r\nL 322.274799 101.538617 \r\nL 321.795829 101.538617 \r\nL 321.316859 101.538617 \r\nL 320.837889 101.538617 \r\nL 320.358919 101.538617 \r\nL 319.879949 101.538617 \r\nL 319.400979 101.538617 \r\nL 318.922009 101.538617 \r\nL 318.443039 101.538617 \r\nL 317.964069 101.538617 \r\nL 317.485099 101.538617 \r\nL 317.006129 101.538617 \r\nL 316.527159 101.538617 \r\nL 316.048189 101.538617 \r\nL 315.569219 101.538617 \r\nL 315.090249 101.538617 \r\nL 314.61128 101.538617 \r\nL 314.13231 101.538617 \r\nL 313.65334 101.538617 \r\nL 313.17437 101.538617 \r\nL 312.6954 101.538617 \r\nL 312.21643 101.538617 \r\nL 311.73746 101.538617 \r\nL 311.25849 101.538617 \r\nL 310.77952 101.538617 \r\nL 310.30055 101.538617 \r\nL 309.82158 101.538617 \r\nL 309.34261 101.538617 \r\nL 308.86364 101.538617 \r\nL 308.38467 101.538617 \r\nL 307.9057 101.538617 \r\nL 307.42673 101.538617 \r\nL 306.94776 101.538617 \r\nL 306.46879 101.538617 \r\nL 305.98982 101.538617 \r\nL 305.51085 101.538617 \r\nL 305.03188 101.538617 \r\nL 304.55291 101.538617 \r\nL 304.07394 101.538617 \r\nL 303.59497 101.538617 \r\nL 303.116001 101.538617 \r\nL 302.637031 101.538617 \r\nL 302.158061 101.538617 \r\nL 301.679091 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288.267932 101.538617 \r\nL 288.746902 101.538617 \r\nL 289.225872 101.538617 \r\nL 289.704842 101.538617 \r\nL 290.183812 101.538617 \r\nL 290.662782 101.538617 \r\nL 291.141752 101.538617 \r\nL 291.620722 101.538617 \r\nL 292.099692 101.538617 \r\nL 292.578661 101.538617 \r\nL 293.057631 101.538617 \r\nL 293.536601 101.538617 \r\nL 294.015571 101.538617 \r\nL 294.494541 101.538617 \r\nL 294.973511 101.538617 \r\nL 295.452481 101.538617 \r\nL 295.931451 101.538617 \r\nL 296.410421 101.538617 \r\nL 296.889391 101.538617 \r\nL 297.368361 101.538617 \r\nL 297.847331 101.538617 \r\nL 298.326301 101.538617 \r\nL 298.805271 101.538617 \r\nL 299.284241 101.538617 \r\nL 299.763211 101.538617 \r\nL 300.242181 101.538617 \r\nL 300.721151 101.538617 \r\nL 301.200121 101.538617 \r\nL 301.679091 101.538617 \r\nL 302.158061 101.538617 \r\nL 302.637031 101.538617 \r\nL 303.116001 101.538617 \r\nL 303.59497 101.538617 \r\nL 304.07394 101.538617 \r\nL 304.55291 101.538617 \r\nL 305.03188 101.538617 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101.356811 \r\nL 287.788962 101.356811 \r\nL 287.309992 101.356811 \r\nL 286.831022 101.356811 \r\nL 286.352052 101.356811 \r\nL 285.873082 101.356811 \r\nL 285.394112 101.356811 \r\nL 284.915142 101.356811 \r\nL 284.436172 101.356811 \r\nL 283.957202 101.356811 \r\nL 283.478232 101.356811 \r\nL 282.999262 101.356811 \r\nL 282.520292 101.356811 \r\nL 282.041322 101.356811 \r\nL 281.562352 101.356811 \r\nL 281.083383 101.356811 \r\nL 280.604413 101.356811 \r\nL 280.125443 101.356811 \r\nL 279.646473 101.356811 \r\nL 279.167503 101.356811 \r\nL 278.688533 101.356811 \r\nL 278.209563 101.356811 \r\nL 277.730593 101.356811 \r\nL 277.251623 101.356811 \r\nL 276.772653 101.356811 \r\nL 276.293683 101.356811 \r\nL 275.814713 101.356811 \r\nL 275.335743 101.356811 \r\nL 274.856773 101.356811 \r\nL 274.377803 101.356811 \r\nL 273.898833 101.356811 \r\nL 273.419863 101.356811 \r\nL 272.940893 101.356811 \r\nL 272.461923 101.356811 \r\nL 271.982953 101.356811 \r\nL 271.503983 101.356811 \r\nL 271.025013 101.356811 \r\nL 270.546043 101.356811 \r\nL 270.067073 101.356811 \r\nL 269.588104 101.356811 \r\nL 269.109134 101.356811 \r\nL 268.630164 101.356811 \r\nL 268.151194 101.356811 \r\nL 267.672224 101.356811 \r\nL 267.193254 101.356811 \r\nL 266.714284 101.356811 \r\nL 266.235314 101.356811 \r\nL 265.756344 101.356811 \r\nL 265.277374 101.356811 \r\nL 264.798404 101.356811 \r\nL 264.319434 101.356811 \r\nL 263.840464 101.356811 \r\nL 263.361494 101.356811 \r\nL 262.882524 101.356811 \r\nL 262.403554 101.356811 \r\nL 261.924584 101.356811 \r\nL 261.445614 101.356811 \r\nL 260.966644 101.356811 \r\nL 260.487674 101.356811 \r\nL 260.008704 101.356811 \r\nL 259.529734 101.356811 \r\nL 259.050764 101.356811 \r\nL 258.571795 101.356811 \r\nL 258.092825 101.356811 \r\nL 257.613855 101.356811 \r\nL 257.134885 101.356811 \r\nL 256.655915 101.356811 \r\nL 256.176945 101.356811 \r\nL 255.697975 101.356811 \r\nL 255.219005 101.356811 \r\nL 254.740035 101.356811 \r\nL 254.261065 101.356811 \r\nL 253.782095 101.356811 \r\nL 253.303125 101.356811 \r\nL 252.824155 101.356811 \r\nL 252.345185 101.356811 \r\nL 251.866215 101.356811 \r\nL 251.387245 101.356811 \r\nL 250.908275 101.356811 \r\nL 250.429305 101.356811 \r\nL 249.950335 101.356811 \r\nL 249.471365 101.356811 \r\nL 248.992395 101.356811 \r\nL 248.513425 101.356811 \r\nL 248.034455 101.356811 \r\nL 247.555486 101.356811 \r\nL 247.076516 101.356811 \r\nL 246.597546 101.356811 \r\nL 246.118576 101.356811 \r\nL 245.639606 101.356811 \r\nL 245.160636 101.356811 \r\nL 244.681666 101.356811 \r\nL 244.202696 101.356811 \r\nL 243.723726 101.356811 \r\nL 243.244756 101.356811 \r\nL 242.765786 101.356811 \r\nL 242.286816 101.356811 \r\nL 241.807846 101.356811 \r\nL 241.328876 101.356811 \r\nL 240.849906 101.356811 \r\nL 240.370936 101.356811 \r\nL 239.891966 101.356811 \r\nL 239.412996 101.356811 \r\nL 238.934026 101.356811 \r\nL 238.455056 101.356811 \r\nL 237.976086 101.356811 \r\nL 237.497116 101.356811 \r\nL 237.018146 101.356811 \r\nL 236.539177 101.356811 \r\nL 236.060207 101.356811 \r\nL 235.581237 101.356811 \r\nL 235.102267 101.356811 \r\nL 234.623297 101.356811 \r\nL 234.144327 101.356811 \r\nL 233.665357 101.356811 \r\nL 233.186387 101.356811 \r\nL 232.707417 101.356811 \r\nL 232.228447 101.356811 \r\nL 231.749477 101.356811 \r\nL 231.270507 101.356811 \r\nL 230.791537 101.356811 \r\nL 230.312567 101.356811 \r\nL 229.833597 101.356811 \r\nL 229.354627 101.356811 \r\nL 228.875657 101.356811 \r\nL 228.396687 101.356811 \r\nL 227.917717 101.356811 \r\nL 227.438747 101.356811 \r\nL 226.959777 101.356811 \r\nL 226.480807 101.356811 \r\nL 226.001837 101.356811 \r\nL 225.522867 101.356811 \r\nL 225.043898 101.356811 \r\nL 224.564928 101.356811 \r\nL 224.085958 101.356811 \r\nL 223.606988 101.356811 \r\nL 223.128018 101.356811 \r\nL 222.649048 101.356811 \r\nL 222.170078 101.356811 \r\nL 221.691108 101.356811 \r\nL 221.212138 101.356811 \r\nL 220.733168 101.356811 \r\nL 220.254198 101.356811 \r\nL 219.775228 101.356811 \r\nL 219.296258 101.356811 \r\nL 218.817288 101.356811 \r\nL 218.338318 101.356811 \r\nL 217.859348 101.356811 \r\nL 217.380378 101.356811 \r\nL 216.901408 101.356811 \r\nL 216.422438 101.356811 \r\nL 215.943468 101.356811 \r\nL 215.464498 101.356811 \r\nL 214.985528 101.356811 \r\nL 214.506558 101.356811 \r\nL 214.027589 101.356811 \r\nL 213.548619 101.356811 \r\nL 213.069649 101.356811 \r\nL 212.590679 101.356811 \r\nL 212.111709 101.356811 \r\nL 211.632739 101.356811 \r\nL 211.153769 101.356811 \r\nL 210.674799 101.356811 \r\nL 210.195829 101.356811 \r\nL 209.716859 101.356811 \r\nL 209.237889 101.356811 \r\nL 208.758919 101.356811 \r\nL 208.279949 101.356811 \r\nL 207.800979 101.356811 \r\nL 207.322009 101.356811 \r\nL 206.843039 101.356811 \r\nL 206.364069 101.356811 \r\nL 205.885099 101.356811 \r\nL 205.406129 101.356811 \r\nL 204.927159 101.356811 \r\nL 204.448189 101.356811 \r\nL 203.969219 101.356811 \r\nL 203.490249 101.356811 \r\nL 203.01128 101.356811 \r\nL 202.53231 101.356811 \r\nL 202.05334 101.356811 \r\nL 201.57437 101.356811 \r\nL 201.0954 101.356811 \r\nL 200.61643 101.356811 \r\nL 200.13746 101.356811 \r\nL 199.65849 101.356811 \r\nL 199.17952 101.356811 \r\nL 198.70055 101.356811 \r\nL 198.22158 101.356811 \r\nL 197.74261 101.356811 \r\nL 197.26364 101.356811 \r\nL 196.78467 101.356811 \r\nL 196.3057 101.356811 \r\nL 195.82673 101.356811 \r\nL 195.34776 101.356811 \r\nL 194.86879 101.356811 \r\nL 194.38982 101.356811 \r\nL 193.91085 101.356811 \r\nL 193.43188 101.356811 \r\nL 192.95291 101.356811 \r\nL 192.47394 101.356811 \r\nL 191.99497 101.356811 \r\nL 191.516001 101.356811 \r\nL 191.037031 101.356811 \r\nL 190.558061 101.356811 \r\nL 190.079091 101.356811 \r\nL 189.600121 101.356811 \r\nL 189.121151 101.356811 \r\nL 188.642181 101.356811 \r\nL 188.163211 101.356811 \r\nL 187.684241 101.356811 \r\nL 187.205271 101.356811 \r\nL 186.726301 101.356811 \r\nL 186.247331 101.356811 \r\nL 185.768361 101.356811 \r\nL 185.289391 101.356811 \r\nL 184.810421 101.356811 \r\nL 184.331451 101.356811 \r\nL 183.852481 101.356811 \r\nL 183.373511 101.356811 \r\nL 182.894541 101.356811 \r\nL 182.415571 101.356811 \r\nL 181.936601 101.356811 \r\nL 181.457631 101.356811 \r\nL 180.978661 101.356811 \r\nL 180.499692 101.356811 \r\nL 180.020722 101.356811 \r\nL 179.541752 101.356811 \r\nL 179.062782 101.356811 \r\nL 178.583812 101.356811 \r\nL 178.104842 101.356811 \r\nL 177.625872 101.356811 \r\nL 177.146902 101.356811 \r\nL 176.667932 101.356811 \r\nL 176.188962 101.356811 \r\nL 175.709992 101.356811 \r\nL 175.231022 101.356811 \r\nL 174.752052 101.356811 \r\nL 174.273082 101.356811 \r\nL 173.794112 101.356811 \r\nL 173.315142 101.356811 \r\nL 172.836172 101.356811 \r\nL 172.357202 101.356811 \r\nL 171.878232 101.356811 \r\nL 171.399262 101.356811 \r\nL 170.920292 101.356811 \r\nL 170.441322 101.356811 \r\nL 169.962352 101.356811 \r\nL 169.483383 101.356811 \r\nL 169.004413 101.356811 \r\nL 168.525443 101.356811 \r\nL 168.046473 101.356811 \r\nL 167.567503 101.356811 \r\nL 167.088533 101.356811 \r\nL 166.609563 101.356811 \r\nL 166.130593 101.356811 \r\nL 165.651623 101.356811 \r\nL 165.172653 101.356811 \r\nL 164.693683 101.356811 \r\nL 164.214713 101.356811 \r\nL 163.735743 101.356811 \r\nL 163.256773 101.356811 \r\nL 162.777803 101.356811 \r\nL 162.298833 101.356811 \r\nL 161.819863 101.356811 \r\nL 161.340893 101.356811 \r\nL 160.861923 101.356811 \r\nL 160.382953 101.356811 \r\nL 159.903983 101.356811 \r\nL 159.425013 101.356811 \r\nL 158.946043 101.356811 \r\nL 158.467073 101.356811 \r\nL 157.988104 101.356811 \r\nL 157.509134 101.356811 \r\nL 157.030164 101.356811 \r\nL 156.551194 101.356811 \r\nL 156.072224 101.356811 \r\nL 155.593254 101.356811 \r\nL 155.114284 101.356811 \r\nL 154.635314 101.356811 \r\nL 154.156344 101.356811 \r\nL 153.677374 101.356811 \r\nL 153.198404 101.356811 \r\nL 152.719434 101.356811 \r\nL 152.240464 101.356811 \r\nL 151.761494 101.356811 \r\nL 151.282524 101.356811 \r\nL 150.803554 101.356811 \r\nL 150.324584 101.356811 \r\nL 149.845614 101.356811 \r\nL 149.366644 101.356811 \r\nL 148.887674 101.356811 \r\nL 148.408704 101.356811 \r\nL 147.929734 101.356811 \r\nL 147.450764 101.356811 \r\nL 146.971795 101.356811 \r\nL 146.492825 101.356811 \r\nL 146.013855 101.356811 \r\nL 145.534885 101.356811 \r\nL 145.055915 101.356811 \r\nL 144.576945 101.356811 \r\nL 144.097975 101.356811 \r\nL 143.619005 101.356811 \r\nL 143.140035 101.356811 \r\nL 142.661065 101.356811 \r\nL 142.182095 101.356811 \r\nL 141.703125 101.356811 \r\nL 141.224155 101.356811 \r\nL 140.745185 101.356811 \r\nL 140.266215 101.356811 \r\nL 139.787245 101.356811 \r\nL 139.308275 101.356811 \r\nL 138.829305 101.356811 \r\nL 138.350335 101.356811 \r\nL 137.871365 101.356811 \r\nL 137.392395 101.356811 \r\nL 136.913425 101.356811 \r\nL 136.434455 101.356811 \r\nL 135.955486 101.356811 \r\nL 135.476516 101.356811 \r\nL 134.997546 101.356811 \r\nL 134.518576 101.356811 \r\nL 134.039606 101.356811 \r\nL 133.560636 101.356811 \r\nL 133.081666 101.356811 \r\nL 132.602696 101.356811 \r\nL 132.123726 101.356811 \r\nL 131.644756 101.356811 \r\nL 131.165786 101.356811 \r\nL 130.686816 101.356811 \r\nL 130.207846 101.356811 \r\nL 129.728876 101.356811 \r\nL 129.249906 101.356811 \r\nL 128.770936 101.356811 \r\nL 128.291966 101.356811 \r\nL 127.812996 101.356811 \r\nL 127.334026 101.356811 \r\nL 126.855056 101.356811 \r\nL 126.376086 101.356811 \r\nL 125.897116 101.356811 \r\nL 125.418146 101.356811 \r\nL 124.939177 101.356811 \r\nL 124.460207 101.356811 \r\nL 123.981237 101.356811 \r\nL 123.502267 101.356811 \r\nL 123.442395 101.175005 \r\nL 123.442395 100.447781 \r\nL 123.442395 99.720557 \r\nL 123.442395 98.993332 \r\nL 123.442395 98.266108 \r\nL 123.442395 97.538884 \r\nL 123.442395 96.81166 \r\nL 123.442395 96.084436 \r\nL 123.442395 95.357212 \r\nL 123.442395 94.629988 \r\nL 123.442395 93.902764 \r\nL 123.442395 93.17554 \r\nL 123.442395 92.448316 \r\nL 123.442395 91.721092 \r\nL 123.442395 90.993868 \r\nL 123.442395 90.266643 \r\nL 123.442395 89.539419 \r\nL 123.442395 88.812195 \r\nL 123.442395 88.084971 \r\nL 123.442395 87.357747 \r\nL 123.442395 86.630523 \r\nL 123.442395 85.903299 \r\nL 123.442395 85.176075 \r\nL 123.442395 84.448851 \r\nL 123.442395 83.721627 \r\nL 123.442395 82.994403 \r\nL 123.442395 82.267179 \r\nL 123.442395 81.539955 \r\nL 123.442395 80.81273 \r\nL 123.442395 80.085506 \r\nL 123.442395 79.358282 \r\nL 123.442395 78.631058 \r\nL 123.442395 77.903834 \r\nL 123.442395 77.17661 \r\nL 123.442395 76.449386 \r\nL 123.442395 75.722162 \r\nL 123.442395 74.994938 \r\nL 123.442395 74.267714 \r\nL 123.442395 73.54049 \r\nL 123.442395 72.813266 \r\nL 123.442395 72.086041 \r\nL 123.442395 71.358817 \r\nL 123.442395 70.631593 \r\nL 123.442395 69.904369 \r\nL 123.442395 69.177145 \r\nL 123.442395 68.449921 \r\nL 123.442395 67.722697 \r\nL 123.442395 66.995473 \r\nL 123.442395 66.268249 \r\nL 123.442395 65.541025 \r\nL 123.442395 64.813801 \r\nL 123.442395 64.086577 \r\nL 123.442395 63.359353 \r\nL 123.442395 62.632128 \r\nL 123.442395 61.904904 \r\nL 123.442395 61.17768 \r\nL 123.442395 60.450456 \r\nL 123.442395 59.723232 \r\nL 123.442395 58.996008 \r\nL 123.442395 58.268784 \r\nL 123.442395 57.54156 \r\nL 123.442395 56.814336 \r\nL 123.442395 56.087112 \r\nL 123.442395 55.359888 \r\nL 123.442395 54.632664 \r\nL 123.442395 53.905439 \r\nL 123.442395 53.178215 \r\nL 123.442395 52.450991 \r\nL 123.442395 51.723767 \r\nL 123.442395 50.996543 \r\nL 123.442395 50.269319 \r\nL 123.442395 49.542095 \r\nL 123.442395 48.814871 \r\nL 123.442395 48.087647 \r\nL 123.442395 47.360423 \r\nL 123.442395 46.633199 \r\nL 123.442395 45.905975 \r\nL 123.442395 45.178751 \r\nL 123.442395 44.451526 \r\nL 123.442395 43.724302 \r\nL 123.442395 42.997078 \r\nL 123.442395 42.269854 \r\nL 123.442395 41.54263 \r\nL 123.442395 40.815406 \r\nL 123.442395 40.088182 \r\nL 123.442395 39.360958 \r\nL 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101.356811 \r\nL 301.679091 101.356811 \r\nL 302.158061 101.356811 \r\nL 302.637031 101.356811 \r\nL 303.116001 101.356811 \r\nL 303.59497 101.356811 \r\nL 304.07394 101.356811 \r\nL 304.55291 101.356811 \r\nL 305.03188 101.356811 \r\nL 305.51085 101.356811 \r\nL 305.98982 101.356811 \r\nL 306.46879 101.356811 \r\nL 306.94776 101.356811 \r\nL 307.42673 101.356811 \r\nL 307.9057 101.356811 \r\nL 308.38467 101.356811 \r\nL 308.86364 101.356811 \r\nL 309.34261 101.356811 \r\nL 309.82158 101.356811 \r\nL 310.30055 101.356811 \r\nL 310.77952 101.356811 \r\nL 311.25849 101.356811 \r\nL 311.73746 101.356811 \r\nL 312.21643 101.356811 \r\nL 312.6954 101.356811 \r\nL 313.17437 101.356811 \r\nL 313.65334 101.356811 \r\nL 314.13231 101.356811 \r\nL 314.61128 101.356811 \r\nL 315.090249 101.356811 \r\nL 315.569219 101.356811 \r\nL 316.048189 101.356811 \r\nL 316.527159 101.356811 \r\nL 317.006129 101.356811 \r\nL 317.485099 101.356811 \r\nL 317.964069 101.356811 \r\nL 318.443039 101.356811 \r\nL 318.922009 101.356811 \r\nL 319.400979 101.356811 \r\nL 319.879949 101.356811 \r\nL 320.358919 101.356811 \r\nL 320.837889 101.356811 \r\nL 321.316859 101.356811 \r\nL 321.795829 101.356811 \r\nL 322.274799 101.356811 \r\nL 322.753769 101.356811 \r\nL 323.232739 101.356811 \r\nL 323.711709 101.356811 \r\nL 324.190679 101.356811 \r\nL 324.669649 101.356811 \r\nL 325.148619 101.356811 \r\nL 325.627589 101.356811 \r\nL 326.106558 101.356811 \r\nL 326.585528 101.356811 \r\nL 327.064498 101.356811 \r\nL 327.543468 101.356811 \r\nL 328.022438 101.356811 \r\nL 328.501408 101.356811 \r\nL 328.980378 101.356811 \r\nL 329.459348 101.356811 \r\nL 329.938318 101.356811 \r\nL 330.417288 101.356811 \r\nL 330.896258 101.356811 \r\nL 331.375228 101.356811 \r\nL 331.854198 101.356811 \r\nL 332.333168 101.356811 \r\nL 332.812138 101.356811 \r\nL 333.291108 101.356811 \r\nL 333.770078 101.356811 \r\nL 334.249048 101.356811 \r\nL 334.728018 101.356811 \r\nL 335.206988 101.356811 \r\nL 335.685958 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plot_decision_boundary(dt_clf, axis=[0.5, 7.5, 0, 3])\n",
    "plt.scatter(X[y==0,0], X[y==0,1])\n",
    "plt.scatter(X[y==1,0], X[y==1,1])\n",
    "plt.scatter(X[y==2,0], X[y==2,1])\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "# 模拟使用信息熵进行划分"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def split(X, y, d, value):\n",
    "    index_a = (X[:, d] <= value)\n",
    "    index_b = (X[:, d] > value)\n",
    "    return X[index_a], X[index_b], y[index_a], y[index_b]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import Counter\n",
    "from math import log\n",
    "def entropy(y):\n",
    "    counter =Counter(y)\n",
    "    res = 0.0\n",
    "    for num in counter.values():\n",
    "        p = num / len(y)\n",
    "        res += -p * log(p)\n",
    "    return res \n",
    "\n",
    "\n",
    "def try_split(X, y):\n",
    "\n",
    "    best_entropy = float('inf')\n",
    "    best_d, best_v= -1, -1\n",
    "    for d in range(X.shape[1]):\n",
    "        sorted_index = np.argsort(X[:,d])\n",
    "        for i in range(1, len(X)):\n",
    "            if X[sorted_index[i-1], d] != X[sorted_index[i],d]:\n",
    "                v = (X[sorted_index[i-1], d] + X[sorted_index[i],d]) /2\n",
    "                X_l, X_r, y_l, y_r = split(X, y, d, v)\n",
    "                e = entropy(y_l) + entropy(y_r)\n",
    "                if e < best_entropy:\n",
    "                    best_entropy, best_d, best_v = e, d, v\n",
    "\n",
    "    return best_entropy, best_d, best_v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "best_entropy =  0.6931471805599453\nbest_d =  0\nbest_v =  2.45\n"
     ]
    }
   ],
   "source": [
    "best_entropy, best_d, best_v = try_split(X, y)\n",
    "print(\"best_entropy = \", best_entropy)\n",
    "print(\"best_d = \", best_d)\n",
    "print(\"best_v = \", best_v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "X1_l, X1_r, y1_l, y1_r = split(X, y, best_d, best_v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "metadata": {},
     "execution_count": 19
    }
   ],
   "source": [
    "entropy(y1_l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "0.6931471805599453"
      ]
     },
     "metadata": {},
     "execution_count": 20
    }
   ],
   "source": [
    "entropy(y1_r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "best_entropy =  0.4132278899361904\nbest_d =  1\nbest_v =  1.75\n"
     ]
    }
   ],
   "source": [
    "best_entropy2, best_d2, best_v2 =try_split(X1_r, y1_r)\n",
    "print(\"best_entropy = \", best_entropy2)\n",
    "print(\"best_d = \", best_d2)\n",
    "print(\"best_v = \", best_v2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "X2_l, X2_r, y2_l, y2_r = split(X1_r, y1_r, best_d2, best_v2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "0.30849545083110386"
      ]
     },
     "metadata": {},
     "execution_count": 24
    }
   ],
   "source": [
    "entropy(y2_l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "0.10473243910508653"
      ]
     },
     "metadata": {},
     "execution_count": 25
    }
   ],
   "source": [
    "entropy(y2_r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}